
Which of the following statements about the spontaneous reaction occurring in a galvanic cell is always true?
(A) ${{E}^{o}}_{cell}>0,\Delta {{G}^{0}}<0$ and $Q < K$
(B) ${{E}^{o}}_{cell}>0,\Delta {{G}^{0}}<0$ and $Q > K$
(C) ${{E}^{o}}_{cell}>0,\Delta {{G}^{0}}>0$ and $Q < K$
(D) ${{E}_{cell}}>0,\Delta {{G}^{0}}<0$ and $Q < K$
Answer
474.6k+ views
Hint: A galvanic cell is a device that can generate electric energy from chemical energy. Electrical energy brings out a chemical reaction with the help of an external energy source. Both the anode and cathode are in the same container with an electrolyte solution. The reaction which produces electricity in a galvanic cell is spontaneous.
Complete Solution :
In a galvanic cell, the standard electrode potential for redox reaction is positive than the reaction in the galvanic cell proceeds in the forward direction, which is known as a spontaneous process in a galvanic cell.
For standard electrochemical cells,
The standard electrode potential of a redox reaction is positive means, ${{E}^{o}}_{cell}>0$-- (1)
Spontaneous redox reactions in a galvanic cell can be used to produce electricity.
In a galvanic cell, the relation between Gibbs free energy and standard emf of a cell,
$\Delta {{G}^{0}}=-nF{{E}^{0}}_{cell}$
Here, n = number of moles, F = faraday constant
If ${{E}^{o}}_{cell}>0$, then $\Delta {{G}^{o}}<0$ which indicates the process in a galvanic cell is spontaneous.
If $\Delta {{E}^{o}}<0$ , then $\Delta {{G}^{o}}>0$ which represents the process in an electrolytic cell is non-spontaneous.
Hence, in a galvanic cell, the change in Gibbs free energy is positive when a spontaneous redox reaction drives the cell to produce an electric potential.
If the reaction is spontaneous then Q < K
So, the spontaneous reaction occurring in a galvanic cell is ${{E}^{o}}_{cell}>0,\Delta {{G}^{0}}<0$ and $Q < K$
So, the correct answer is “Option A”.
Note: If the standard emf of a cell is negative, then the reaction will not proceed in the forward reaction which indicates a non-spontaneous process. These reactions will be a spontaneous reaction in the reverse direction and non-spontaneous redox reactions cannot produce the electricity.
Complete Solution :
In a galvanic cell, the standard electrode potential for redox reaction is positive than the reaction in the galvanic cell proceeds in the forward direction, which is known as a spontaneous process in a galvanic cell.
For standard electrochemical cells,
The standard electrode potential of a redox reaction is positive means, ${{E}^{o}}_{cell}>0$-- (1)
Spontaneous redox reactions in a galvanic cell can be used to produce electricity.
In a galvanic cell, the relation between Gibbs free energy and standard emf of a cell,
$\Delta {{G}^{0}}=-nF{{E}^{0}}_{cell}$
Here, n = number of moles, F = faraday constant
If ${{E}^{o}}_{cell}>0$, then $\Delta {{G}^{o}}<0$ which indicates the process in a galvanic cell is spontaneous.
If $\Delta {{E}^{o}}<0$ , then $\Delta {{G}^{o}}>0$ which represents the process in an electrolytic cell is non-spontaneous.
Hence, in a galvanic cell, the change in Gibbs free energy is positive when a spontaneous redox reaction drives the cell to produce an electric potential.
If the reaction is spontaneous then Q < K
So, the spontaneous reaction occurring in a galvanic cell is ${{E}^{o}}_{cell}>0,\Delta {{G}^{0}}<0$ and $Q < K$
So, the correct answer is “Option A”.
Note: If the standard emf of a cell is negative, then the reaction will not proceed in the forward reaction which indicates a non-spontaneous process. These reactions will be a spontaneous reaction in the reverse direction and non-spontaneous redox reactions cannot produce the electricity.
Recently Updated Pages
The correct geometry and hybridization for XeF4 are class 11 chemistry CBSE

Water softening by Clarks process uses ACalcium bicarbonate class 11 chemistry CBSE

With reference to graphite and diamond which of the class 11 chemistry CBSE

A certain household has consumed 250 units of energy class 11 physics CBSE

The lightest metal known is A beryllium B lithium C class 11 chemistry CBSE

What is the formula mass of the iodine molecule class 11 chemistry CBSE

Trending doubts
State the laws of reflection of light

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

What is the modal class for the following table given class 11 maths CBSE

How do I convert ms to kmh Give an example class 11 physics CBSE

Give an example of a solid solution in which the solute class 11 chemistry CBSE
